Evaluate ((sin)45º + (sin)30º ) in surd form
-
A.
(frac{sqrt{3}}{2sqrt{2}}) -
B.
√3 − (frac{1}{2}) -
C.
(frac{1}{2})√2 -
D.
1 + (frac{sqrt{2}}{2})
Correct Answer: Option D
Explanation
hypotenuse
sin = (frac{1}{2})
(sin45 = frac{1}{sqrt{2}})
= (frac{2}{2})
∴ (sin45 + sin30)
= (frac{1}{sqrt{2}} + frac{1}{2})
= (frac{sqrt{2}}{2}) + (frac{1}{2})
= (frac{sqrt{2} + 1}{2})
= (frac{1 + sqrt{2}}{2})
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